A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $6,000 per week for every week the project extends beyond 25 weeks. What is the lowest total cost duration for completing this project? 
Definitions:
Class Project
A collaborative educational task where students work together in groups to achieve a common goal or complete a specific assignment.
Group Polarization
The tendency of groups to make more extreme decisions than what their members first considered.
University Degree
A qualification awarded to students by a college or university after the successful completion of a course of study.
Professors
Senior teachers at colleges or universities who are experts in their field, responsible for lecturing, researching, and guiding students in their academic pursuits.
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